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28088544 = 2531167397
BaseRepresentation
bin110101100100…
…1100011100000
31221212001020110
41223021203200
524142313134
62442011320
7460514541
oct153114340
957761213
1028088544
1114945380
1294a6b40
135a85c53
143a324c8
1526ec7e9
hex1ac98e0

28088544 has 96 divisors (see below), whose sum is σ = 81841536. Its totient is φ = 8363520.

The previous prime is 28088527. The next prime is 28088549. The reversal of 28088544 is 44588082.

It is a tau number, because it is divible by the number of its divisors (96).

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28088549) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 70554 + ... + 70950.

It is an arithmetic number, because the mean of its divisors is an integer number (852516).

Almost surely, 228088544 is an apocalyptic number.

28088544 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28088544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40920768).

28088544 is an abundant number, since it is smaller than the sum of its proper divisors (53752992).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

28088544 is a wasteful number, since it uses less digits than its factorization.

28088544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 488 (or 480 counting only the distinct ones).

The product of its (nonzero) digits is 81920, while the sum is 39.

The square root of 28088544 is about 5299.8626397294. The cubic root of 28088544 is about 303.9786457761.

The spelling of 28088544 in words is "twenty-eight million, eighty-eight thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 67 88 96 132 134 176 201 264 268 352 397 402 528 536 737 794 804 1056 1072 1191 1474 1588 1608 2144 2211 2382 2948 3176 3216 4367 4422 4764 5896 6352 6432 8734 8844 9528 11792 12704 13101 17468 17688 19056 23584 26202 26599 34936 35376 38112 52404 53198 69872 70752 79797 104808 106396 139744 159594 209616 212792 292589 319188 419232 425584 585178 638376 851168 877767 1170356 1276752 1755534 2340712 2553504 3511068 4681424 7022136 9362848 14044272 28088544